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# C la im exc e s s c h a rg e o n c o n d u c to ro n

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Unformatted text preview: Lecture 4, Slide Conductors = charges free to move C la im : E = 0 in s id e a n y c o n d uc to r a t e q uilib riu m Why? C h a rg e s in c o n d u c to r m o ve to m a ke E fie ld ze ro in s id e . (Ind uc e d c h a rg e d is trib utio n) E <>0 , th e n c h a rg e fe e ls fo rc e a n d m o ve s ! C la im : Exc e s s c h a rg e o n c o n d u c to r o n ly o n s urfa c e a t e q u ilib riu m Wh y? • Apply Gauss’ Law • Take Gaussian surface to be just inside conductor surface • E = 0 everywhere inside conductor • Gauss’ Law: 07 r r Qenc dA ∫ Eg = ε0 Qenc = 0 SIMULATION 2 E=0 rr dA ∫ Eg = 0 Physics 212 Lecture 4, Slide 7 Physics 212 Lecture 4, Slide Gauss’ Law + Conductors + Induced Charges r r Qenc ∫ E • dA = ε 0 ALWAYS TRUE! Q If choose a Gaussian surface that is entirely in the metal, then E=0 E = enc Aε 0 so Qenclosed must also be zero! 9 Physics 212 Lecture 4, Slide 8 Physics 212 Lecture 4, Slide Charge in Cavity of Conductor BB A particle with charge +Q is placed in the center of an uncharged condu...
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